Method and apparatus for geo-locating mobile station

ABSTRACT

A method for estimating a geographic location of a mobile station within a coverage area of a wireless network includes: determining a radial distance of the mobile station from a serving base station based on a round trip measurement and calculating an angular position of the mobile station in relation to the radial distance based on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station. The signal strength measurements representative of power characteristics of RF signals received by the mobile station from first and second sector antennas of the serving base station. An apparatus associated therewith includes a distance module to perform the determining and an angular position module to perform the calculating. The apparatus may be implemented in a base station, a geo-location service node, a network management node, or other communication nodes.

BACKGROUND

This disclosure relates to providing wireless service to a mobile station in a wireless network and more particularly, but not exclusively, to estimating a geographic location for a mobile station within a coverage area of a wireless network.

Geographic location information for mobile stations has tremendous value to mobile applications, network optimization (e.g., self optimized network (SON)), capacity management, and drive test substitutions, etc. Although many modern mobile stations can obtain their own locations from integrated GPS modules, it is still a challenge for the network to track the locations of a large number of subscribers for an extended period of time. A frequent location update from mobile stations would increase network overhead and may overwhelm the network and create bottlenecks. A passive location estimation technique that leverages measurements from normal network operation is desirable because it avoids such increases in network overhead.

For example, in third generation (3G) code division multiple access (CDMA) networks, such as 3G1X, EVDO, UMTS, etc., one can triangulate the geographic location of a mobile station from the reported round trip delays between the mobile station and three or more base stations (see FIG. 1). The corresponding round trip delays are sent back by the mobile stations for call processing, thus no additional signaling overhead is incurred by the network to collect measurements for triangulation.

However, this triangulation approach does not work in all networks, such as the fourth generation (4G) long term evolution (LTE) networks. Unlike 3G CDMA networks, each measurement report in LTE networks only contains the round trip delay from one cell (i.e., the serving cell of the mobile). Thus, the triangulation technique cannot be used at all in conjunction with 4G LTE networks.

For these and other reasons, there is a need to provide a technique for estimating a geographic location of a mobile station for at least 4G LTE networks. Additionally, it is desirable that the technique be compatible with other types of wireless networks, especially 3G CDMA networks. It is also desirable that the technique be more reliable than the triangulation technique.

SUMMARY

In one aspect, a method for estimating a geographic location of a mobile station within a coverage area of a wireless network is provided. In one embodiment, the method includes: determining a radial distance of a mobile station from a base station serving the mobile station, the base station including multiple sector antennas, the radial distance based at least in part on a round trip measurement associated with elapsed time between sending an outgoing signal from the base station to the mobile station and receiving a corresponding acknowledgement signal from the mobile station at the base station; and calculating a current angular position of the mobile station in relation to the radial distance from the serving base station based at least in part on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station, the first and second signal strength measurements representative of power characteristics of respective radio frequency (RF) signals received by the mobile station from corresponding first and second sector antennas of the serving base station.

In another aspect, an apparatus for estimating a geographic location of a mobile station within a coverage area of a wireless network is provided. In one embodiment, the apparatus includes: a distance module for determining a radial distance of a mobile station from a base station serving the mobile station, the base station including multiple sector antennas, the radial distance based at least in part on a round trip measurement associated with elapsed time between sending an outgoing signal from the base station to the mobile station and receiving a corresponding acknowledgement signal from the mobile station at the base station; and an angular position module in operative communication with the distance module for calculating a current angular position of the mobile station in relation to the radial distance from the serving base station based at least in part on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station, the first and second signal strength measurements representative of power characteristics of respective RF signals received by the mobile station from corresponding first and second sector antennas of the serving base station.

In yet another aspect, a non-transitory computer-readable medium storing program instructions is provided. The program instructions, when executed by a computer, cause a corresponding computer-controlled device to perform a method for estimating a geographic location of a mobile station within a coverage area of a wireless network. In one embodiment of the non-transitory computer-readable medium, the method includes: determining a radial distance of a mobile station from a base station serving the mobile station, the base station including multiple sector antennas, the radial distance based at least in part on a round trip measurement associated with elapsed time between sending an outgoing signal from the base station to the mobile station and receiving a corresponding acknowledgement signal from the mobile station at the base station; calculating a current angular position of the mobile station in relation to the radial distance from the serving base station based at least in part on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station, the first and second signal strength measurements representative of power characteristics of respective RF signals received by the mobile station from corresponding first and second sector antennas of the serving base station; and identifying a current geographic location of the mobile station in a coverage area of the wireless network in a geographic notation based at least in part on combining the radial distance and current angular position of the mobile station relative to the serving base station.

Further scope of the applicability of this the present invention will become apparent from the detailed description provided below. It should be understood, however, that the detailed description and specific examples, while indicating preferred embodiments of the invention, are given by way of illustration only, since various changes and modifications within the spirit and scope of the invention will become apparent to those skilled in the art.

DESCRIPTION OF THE DRAWINGS

The present invention exists in the construction, arrangement, and combination of the various parts of the device, and steps of the method, whereby the objects contemplated are attained as hereinafter more fully set forth, specifically pointed out in the claims, and illustrated in the accompanying drawings in which:

FIG. 1 is a functional diagram showing three cells of a wireless network in relation to an exemplary embodiment of a triangulation technique for estimating the geographic location of a mobile station;

FIG. 2 is a functional diagram showing a serving cell of a wireless network in relation to an exemplary embodiment of another technique for estimating the geographic location of a mobile station;

FIG. 3 is a graph showing a transmit antenna gain characteristic for a sector antenna of a base station in which normalized gain in dB is plotted in relation to look angles from the sector antenna to a mobile station in relation to azimuth (i.e., horizontal gain) and elevation (i.e., vertical gain) positions from the orientation of the sector antenna;

FIG. 4 is a flow chart of an exemplary embodiment of a process for estimating a geographic location of a mobile station within a coverage area of a wireless network;

FIG. 5, in combination with FIG. 4, is a flow chart of another exemplary embodiment of a process for estimating a geographic location of a mobile station within a coverage area of a wireless network;

FIG. 6 is a block diagram of an exemplary embodiment of an apparatus within a serving base station of a wireless network for estimating a geographic location of a mobile station within a coverage area of the wireless network;

FIG. 7 is a block diagram of an exemplary embodiment of an apparatus within a geo-location service node of a wireless network for estimating a geographic location of a mobile station within a coverage area of the wireless network;

FIG. 8 is a block diagram of an exemplary embodiment of an apparatus within a network management node associated with a wireless network for estimating a geographic location of a mobile station within a coverage area of the wireless network;

FIG. 9 is a block diagram of an exemplary embodiment of an angular position module associated with the apparatus shown in FIGS. 6-8;

FIG. 10 is a flow chart of an exemplary embodiment of a process for estimating a geographic location of a mobile station within a coverage area of a wireless network performed by a computer-controlled device executing program instructions stored on a non-transitory computer-readable medium;

FIG. 11 is a bird's eye view of a coverage area of an exemplary base station in a wireless network showing an estimated geographic location and a GPS location for a mobile station; and

FIG. 12 is a set of graphs showing azimuth gain parameter characteristics for two sector antennas of a base station, elevation gain parameter characteristics for the two sector antennas, a composite graph showing the difference between gains for the two sector antennas, and a graph of a function of the angular position of the mobile station in relation to the delta antenna gain component, a delta transmit parameter component, and a delta signal strength measurement component.

DETAILED DESCRIPTION

Various embodiments of methods and apparatus provide techniques for estimating a geographic location of a mobile station within a coverage area of a wireless network. In one embodiment, an algorithm estimates a geographic location of mobile station that reports signal strength measurements from multiple sector antennas of a serving base station in a wireless network in which the serving base station reports a round trip measurement associated with the mobile station. For example, the various embodiments of the geographic location estimating algorithm can be use to estimate the location of a mobile station in a 4G LTE network. Various embodiments of the algorithm can also estimate the location of a mobile station in 3G CDMA wireless networks and other types of wireless networks that use base stations with multiple sector antennas.

With reference to FIG. 2, in one embodiment, the technique for estimating the geographic location of the mobile station uses a round trip measurement (e.g., RTD measurement) from a serving base station (i.e., serving cell) to estimate the distance (d) of the mobile station from the serving base station. Then, signal strength measurements from serving and/or neighboring sectors of the serving base station to estimate an azimuth position (φ) of the mobile station in relation to an angular position reference extending outward from the serving base station. Combining the sector coverage areas of the same base station forms a corresponding cellular coverage area for the base station. The individual sector coverage areas may also be referred to as cells in relation to corresponding sector antennas. If so, the corresponding cells for sector antennas associated with the same base station are still usually labeled as sectors (e.g., α, β, γ sectors or sectors 1, 2, 3). Normally, the sector antennas associated with the same base station are mounted on the same cell tower (or building). Hence, the radio wave travel from these sector antennas to a given mobile station antenna will experience highly correlated losses (including path loss and shadow fading). The algorithm described herein uses these RF characteristics (i.e., highly correlated losses) to estimate an azimuth position of the mobile station in relation to the serving based station based on the difference of signal strength measurements from multiple sector antennas of the serving base station.

In one embodiment, the algorithm for estimating a geographic location of a mobile station within a coverage area of a wireless network begins with estimating a distance (d) of the mobile station from the serving base station based on a round trip measurement, such as RTD. Next, the azimuth position (φ) of the mobile station in relation to the serving base station is estimated based on signal strength measurements by the mobile station from multiple sector antennas of the serving base station that are reported back by the mobile station to the serving base station via the serving sector antenna. Combining the distance (d) and azimuth position (φ) forms a geographic location of the mobile station in relation to the serving base station with respect to vector represented by a displacement (i.e., distance (d)) and an angular position (i.e., azimuth position (φ)). This polar coordinate-type of geographic notation can be converted to various other forms of geographic notation, including a latitude/longitude notation, an address notation, or a geo-bin tile grid notation associated with the coverage area for the wireless network. For example, the geo-bin tile grid notation may use 50 meter by 50 meter tiles to represent the coverage area for a sector antenna, base station, cluster of base stations, or the overall wireless network. In other embodiments, any suitable tile size may be used to provide a higher or lower resolution of the coverage area.

The approximation algorithm for estimating the geographic location of a mobile station may be based on certain considerations regarding the mobile received power (Pr) (i.e., signal strength measurements) from multiple sector antennas where the sector antennas are located in close proximity to each other, such as mounted on the same cell tower or on the same physical structure at relatively the same elevation. For example, the mobile received power (Pr) is received by the mobile station from multiple sector antennas of the serving base station. The mobile station measures the signal strength of the mobile received power (Pr) signals and may report back the corresponding signal strength measurements in dBm.

Mobile received power (Pr) may be represented by the following equation: Pr(d,φ,Θ)=Pt−PL(d)−X+Gt(d,φ,Θ)+Gr  (1), where d is a distance between the serving base station and the mobile station in kilometers (km), φΘ is an azimuth position of the mobile station in relation to an angular position reference extending outward from the serving base station, Θ is an azimuth position at which the transmit portion of the corresponding sector antenna is oriented in relation to the angular reference position, Pt is a transmit power for the corresponding sector antenna in dBm, and PL(d) is an average path loss in dB for the corresponding sector antenna. The azimuth position Θ of the sector antenna is known and corresponds to its actual installation. Likewise, the transmit power Pt for the sector antenna is known at the serving base station based on known characteristics of the sector antenna or actual measurements by the base station.

The average path loss PL(d) may be represented by the following equation: PL(d)=K1+K2*log 10(d)  (2), where K1 and K2 are propagation parameters such that K1 is function of morphology, frequency, cell antenna height, and mobile antenna height and K2 is function of cell antenna height.

With reference again to equation (1), X is a zero-mean Gaussian distributed random variable (in dB) with standard deviation σ approximately equal to N(0, σ). (in dB). X may be referred to as the shadowing fading effect. Gt(d, φ, Θ) is the transmit antenna gain at the sector antenna in dB. Gr is receive antenna gain at the mobile station in dB.

With reference to FIG. 3, Gt(d, φ, Θ) reflects that Gt is a function of mobile distance (d) and an angle between the azimuth position (φ) of the mobile station and the azimuth position (Θ) of the corresponding sector antenna. Note, the distance (d), in combination with the sector antenna height, is used to estimate an antenna tile and an antenna downtile. The azimuth position (φ) of the mobile station and the azimuth position (Θ) of the corresponding sector antenna are used to determine a horizontal gain portion of Gt, where the look angle is φ−Θ. The distance (d) and the height (i.e., elevation) of the corresponding sector antenna are used to determine a vertical gain component of Gt.

The signal strength measurements for mobile received power Pr may be reported as received signal reference power (RSRP) measurements, reference signal received quality (RSRQ) measurements, or Ec/lo measurements. RSRQ is the ratio of received signal reference power to total received power. Ec/lo is the ratio in dB between the pilot energy accumulated over one PN chip period (“Ec”) to the total power spectral density in the received bandwidth (“lo”).

Mobile received power Pr1 and Pr2 from two sector antennas of the serving base station in dBm may be represented by the following equations: Pr1(d,φ,Θ1)=Pt1−PL(d)−X+Gt1(d,φ,Θ1)+Gr  (3), Pr2(d,φ,Θ2)=Pt2−PL(d)−X+Gt2(d,φ,Θ2)+Gr+ε  (4).

The path loss and shadowing fading effect from different sector antennas of the same base station can be assumed to be equal where the sector antennas are mounted on the same cell tower or building. The close proximity of the sector antennas results in high correlation of between these components of the mobile received power Pr1 and Pr2. For example, the differences of shadow fading are expected to be very small and are counted by E in equation (4). As mentioned above, d, Θ1 and Θ2 are known values.

Based on the foregoing, an estimate of the azimuth position (φ) of the mobile station may be based on the difference of mobile received power from the two sector antennas (Pr1−Pr2) in dB. For example, (Pr1−Pr2) can be (RSRP1−RSRP2) or (RSRQ1−RSRQ2) in an LTE network, Similarly, (Pr1−Pr2) can be (Ec/lo) 1−(Ec/lo) 2 in a CDMA network. Even though the mobile received power Pr1 and Pr2 are expressed in absolute received power format (i.e., dBm), the estimation of mobile location does not require the knowledge of absolute received power information. RSRQ for LTE and pilot Ec/lo for CDMA can be used in the same manner as mentioned above.

Based on the foregoing, the difference between the mobile received power Pr1 and Pr2 can be represented by the following equation: (Pr1−Pr2)=(Gt1(φ)−Gt2(φ))+(Pt1−Pt2)  (5), where φ can be substituted with a potential azimuth position φm for the mobile station in the range of 0 to 360 degrees. The potential azimuth position φm that results in the closest match between the right and left sides of equation (5) can be used as estimated azimuth position of the mobile station.

Based on the foregoing, the azimuth position of the mobile station can be represented by the following equation: F(φ)=|(Gt1(φ)−Gt2(φ))+(Pt1−Pt2)−(Pr1−Pr2)|  (6), where φ can be substituted with a potential azimuth position φm for the mobile station in the range of 0 to 360 degrees. The potential azimuth position φm that minimizes F(φm) can be used as estimated azimuth position of the mobile station.

This process can also be expressed in the following equation: min|(Gt1(φ)−Gt2(φ))+(Pt1−Pt2)−(Pr1−Pr2)|  (7).

Notably, the value selected for the initial potential azimuth position φm in equations (5) through (7) can be based at least in part on the knowledge of the orientation and azimuth position of the serving sector antenna. Subsequent values selected for the potential azimuth position φm can be based on whether the subsequent result is approaching or receding from the desired result. Various techniques can also be used to select subsequent values for the potential azimuth position φm based on the magnitude of the difference between the subsequent result and the desired result as well as the change in the difference between consecutive subsequent results and the desired result.

With reference to FIG. 11, a bird's eye view of a coverage area of an exemplary base station A in a wireless network shows an estimated geographic location for a mobile station (UE) resulting from the process disclosed herein. A geographic location for the mobile station (UE) based on GPS location is also shown for comparison. The X and Y axes for the coverage area reflect distance in meters from the base station A. Notably, the estimated geographic location is close to the GPS location.

The base station A includes a first sector antenna oriented at 27 degrees from north (i.e., an angular position reference representing 0/360 degrees) and a second sector antenna oriented at 267 degrees. The mobile station reported signal strength measurements from the first and second sector antennas at −11 dB and −13 dB, respectively. The angular position of the mobile station was estimated at 330.6 degrees using the process disclosed herein. The measurements used to estimate the geographic location of the mobile station were retrieved from per call measurement data (PCMD) for an active call associated with the mobile station. For example, the PCMD data may be stored by a wireless service provider during network operations for billing purposes. The process disclosed herein may use signal strength measurements and round trip measurements captured and retained during network operations via any suitable techniques without requiring additional network overhead for collection of data to perform the estimate of the geographic location of the mobile station.

With reference to FIG. 12, various data and calculations associated with the process for estimating the geographic location of a mobile station is provided in a set of graphs. The upper left graph shows an azimuth gain parameter characteristic for a first sector antenna of a serving base station. The first sector antenna is oriented at 27 degrees from north (i.e., an angular position reference representing 0/360 degrees). The middle left graph shows an azimuth gain parameter characteristic for a second sector antenna of a serving base station. The second sector antenna is oriented at 267 degrees from north. The azimuth gain parameter characteristics may be manufacturer's specifications of power measurements from the sector antennas from relatively close (e.g., 10 meters) to the base station where little or no path loss is experienced. As shown, the first and second sector antennas have the same azimuth gain characteristic merely shifted by the orientation of the antennas. In other base station arrangements, the sector antennas may have different azimuth gain characteristics.

The upper right graph shows an elevation gain parameter characteristic for the first sector antenna. The first sector antenna is oriented at 2 degrees down from horizontal (i.e., an elevation position reference representing 0/360 degrees). The middle right graph shows an elevation gain parameter characteristic for the second sector antenna. The second sector antenna is also oriented at 2 degrees down from horizontal. The elevation gain parameter characteristics may be manufacturer's specifications of power measurements from the sector antennas from relatively close (e.g., 10 meters) to the base station where little or no path loss is experienced. As shown, the first and second sector antennas have the same elevation gain characteristic. In other base station arrangements, the sector antennas may have different elevation gain characteristics. Also, the sector antennas may be oriented at different angles from the horizontal in other base station arrangements.

The lower left graph is a composite graph showing the difference between gains for the first and second sector antennas. The composite graph takes the azimuth and elevation gain characteristics into account to form a composite delta gain characteristic. The composite graph reflects differences in relation to varying azimuth position that follows the azimuth gain characteristics and a relatively steady state component from the elevation gain characteristics because the elevation tilt of the antennas is not changing. The following equation is used to populate the composite graph: (Gt1(φ)_(az) +Gt1_(el) −Gt1_(max))−(Gt2(φ)_(az) +Gt2_(el) −Gt2_(max))  (8), where Gt1(φ)_(az) is the azimuth gain for the first sector antenna for a given azimuth angle in relation to the angular position reference, Gt1_(el) is the elevation gain for the first antenna associated with the elevation tilt, and Gt1_(max) is the maximum gain for the first sector antenna. Similarly, Gt2(φ)_(az) is the azimuth gain for the second sector antenna for a given azimuth angle in relation to the angular position reference, Gt2_(el) is the elevation gain for the second antenna associated with the elevation tilt, and Gt2_(max) is the maximum gain for the second sector antenna.

The lower right graph shows a function of the angular position of the mobile station in relation to the delta antenna gain component, a delta transmit parameter component, and a delta signal strength measurement component as defined above in equation (7).

With reference to FIG. 4, an exemplary embodiment of a process 400 for estimating a geographic location of a mobile station within a coverage area of a wireless network begins at 402 where a radial distance of a mobile station from a base station serving the mobile station is determined. The base station includes multiple sector antennas. The radial distance is based at least in part on a round trip measurement associated with elapsed time between sending an outgoing signal from the base station to the mobile station and receiving a corresponding acknowledgement signal from the mobile station at the base station. At 404, a current angular position of the mobile station in relation to the radial distance from the serving base station is calculated. The current angular position is based at least in part on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station. The first and second signal strength measurements representative of power characteristics of respective RF signals received by the mobile station from corresponding first and second sector antennas of the serving base station.

With reference to FIGS. 4 and 5, another exemplary embodiment of a process 500 for estimating a geographic location of a mobile station within a coverage area of a wireless network includes the process 400 of FIG. 4 and continues at 502 where a current geographic location of the mobile station in a coverage area of the wireless network is identified in a geographic notation. The geographic notation is based at least in part on combining the radial distance and current angular position of the mobile station relative to the serving base station. In one embodiment, the radial distance and current angular position reflect a polar coordinate-type of geographic notation in reference to the serving base station. In other embodiments, the radial distance and current angular position can be converted into various types of geographic notation, such as a latitude/longitude notation, an address notation, or a geo-bin tile grid notation associated with the coverage area for the wireless network.

In another embodiment, the process 500 also includes sending the current geographic location of the mobile station in the geographic notation to a geo-location storage node associated with the wireless network. In a further embodiment, the determining, calculating, identifying, and sending are performed by the serving base station.

In yet another embodiment, the process 500 also includes receiving the round trip measurement, first signal strength measurement, and second signal strength measurement from the serving base station via the wireless network at a geo-location service node associated with the wireless network. In this embodiment, the current geographic location of the mobile station is sent in the geographic notation to a geo-location storage device associated with the geo-location service node. In the embodiment being described, the receiving, determining, calculating, identifying, and sending are performed by the geo-location service node.

In still another embodiment, the process 500 also includes receiving the round trip measurement, first signal strength measurement, and second signal strength measurement from the serving base station via the wireless network at a network management node associated with the wireless network. In this embodiment, the round trip measurement, first signal strength measurement, and second signal strength measurement are stored at a measurements storage device associated with the network management node. In the embodiment being described, the round trip measurement, first signal strength measurement, and second signal strength measurement are retrieved from the measurements storage device in conjunction with the determining and calculating. In this embodiment, the process 500 also includes sending the current geographic location of the mobile station in the geographic notation to a geo-location storage device associated with the network management node. The receiving, storing, retrieving, determining, calculating, identifying, and sending are performed by the network management node in the embodiment being described.

With reference again to FIG. 4, in another embodiment of the process 400, the round trip, first signal strength, and second signal strength measurements are related in calendar time. In a further embodiment, the radial distance and current angular position of the mobile station relative to the serving base station are indicative of a current geographic location of the mobile station in a coverage area of the wireless network in relation to the calendar time associated with the round trip, first signal strength, and second signal strength measurements.

In yet another embodiment of the process 400, the first sector antenna is serving the mobile station and referred to as a serving sector antenna and the second sector antenna is disposed near the first sector antenna and referred to as a neighboring sector antenna. In still another embodiment of the process 400, the round trip measurement is measured by the serving base station. In a further embodiment, the round trip measurement includes a RTD time measurement. In still yet another embodiment of the process 400, the first and second signal strength measurements are measured by the mobile station. In a further embodiment, the first and second signal strength measurements include RSRP measurements, RSRQ measurements, or Echo measurements.

In another embodiment of the process 400, the calculating in 404 may include retrieving first and second transmit parameter values from a storage device associated with the wireless network. The first and second transmit parameter values representative of power characteristics of respective communication signals to be transmitted by the corresponding first and second sector antennas. In this embodiment, the calculating in 404 may also include determining a difference between the first and second transmit parameter values to obtain a first angular position component.

In a further embodiment of the process 400, the calculating in 404 may also include retrieving the first and second signal strength measurements from the storage device. In this embodiment, the calculating in 404 may also include determining a difference between the first and second signal strength measurements to obtain a second angular position component.

In a yet further embodiment of the process 400, the calculating in 404 may also include retrieving a first antenna elevation gain parameter value, a first antenna maximum gain parameter value, and a first antenna azimuth gain parameter characteristic from the storage device. The first antenna azimuth gain parameter characteristic relating first antenna azimuth gain parameter values to variable azimuth positions with respect to the angular position reference. The variable azimuth positions representative of prospective azimuth positions of the mobile station in relation to the angular position reference. The first antenna azimuth gain parameter characteristic based at least in part on a first antenna position value representative of a first azimuth position at which the first sector antenna is oriented in relation to the angular position reference. In this embodiment, a second antenna elevation gain parameter value, a second antenna maximum gain parameter value, and a second antenna azimuth gain parameter characteristic are also retrieved from the storage device. The second antenna azimuth gain parameter characteristic relating second antenna azimuth gain parameter values to the variable azimuth positions. The second antenna azimuth gain parameter characteristic based at least in part on a second antenna position value representative of a second azimuth position at which the second sector antenna is oriented in relation to the angular position reference.

In the embodiment being described, an angular value (e.g., not exceeding 360) may be selected for the variable azimuth position. The first and second antenna azimuth gain parameter characteristics may be used to identify the corresponding first and second antenna azimuth gain parameter values for the variable azimuth position associated with the selected angular value. In this embodiment, the calculating in 404 may continue by determining a difference between first and second transmit antenna gains for the selected angular value. The difference may be determined by adding the first antenna azimuth gain parameter value for the selected angular value to the first antenna elevation gain parameter value and subtracting the first antenna maximum gain parameter value to obtain the first transmit antenna gain, adding the second antenna azimuth gain parameter value for the selected angular value to the second antenna elevation gain parameter value and subtracting the second antenna maximum gain parameter value to obtain the second transmit antenna gain, and subtracting the second transmit antenna gain from the first transmit antenna gain to obtain a third angular position component.

The angular value selected for the initial variable azimuth position can be based at least in part on knowledge of which sector antenna is serving the mobile station and the orientation and azimuth position of the serving sector antenna. Subsequent values selected for the variable azimuth position can be based on whether the subsequent result is approaching or receding from the desired result. Various techniques can also be used to select subsequent values for the variable azimuth position based on the magnitude of the difference between the subsequent result and the desired result as well as the change in the difference between consecutive subsequent results and the desired result.

For example, in a further embodiment of the process 400, the angular value initially selected for the variable azimuth position may be between the first and second antenna position values. In this embodiment, the initial angular value may be representative of a mid-point between the first and second antenna position values. In other words, if the first antenna is oriented to 120 degrees in relation to the angular reference position, a second antenna may be oriented to 240 degrees, and 180 may be selected as the initial angular value for the variable azimuth position because it is at a midpoint between the first and second sector antennas. The selection of other angular values for the variable azimuth position can take into account whether the results are getting better or worse to select angular values to obtain better results. The iterative selection of angular values can be incremental or based on a factor of the difference between the obtained result and the desired result.

In still another further embodiment of the process 400, the calculating in 404 also includes adding the first and third angular position components and subtracting the second angular position component to form an arithmetic result. In the embodiment being described, the arithmetic result is converted to an absolute value. In this embodiment, if the absolute value is within a predetermined threshold of a desired value (e.g., zero), the process 400 continues by identifying the angular value substituted for the variable azimuth position as the current angular position for the mobile station. Otherwise, the process 400 repeats the selecting with a different angular value, repeats the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, repeats the adding and subtracting to form the arithmetic result and the determining of the absolute value, and continues the repeating until the absolute value is within the predetermined threshold of the desired value.

In still yet another further embodiment of the process 400, the calculating in 404 also includes adding the first and third angular position components and subtracting the second angular position component to form an arithmetic result. In this embodiment, the arithmetic result is converted to an absolute value. In the embodiment being described, the process 400 repeats the selecting with a different angular value, repeats the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, repeats the adding and subtracting to form the arithmetic result and the determining of the absolute value, and continues the repeating until the absolute value is minimized. In this embodiment, the process 400 continues by identifying the corresponding angular value substituted for the variable azimuth position for which the absolute value is minimized as the current angular position for the mobile station.

In another further embodiment of the process 400, the calculating in 404 includes summing the first and third angular position components to form an arithmetic result and comparing the arithmetic result to the second angular position component. In this embodiment, if the arithmetic result is within a predetermined range of the second angular position component, the process 400 continues by identifying the angular value substituted for the variable azimuth position as the current angular position for the mobile station. Otherwise, the process 400 repeats the selecting with a different angular value, repeats the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, repeats the summing of the first and third angular position components to form the arithmetic result and the comparing of the arithmetic result to the second angular position component, and continues the repeating until the arithmetic result is within the predetermined range of the second angular position component.

With reference to FIG. 6, an exemplary embodiment of an apparatus for estimating a geographic location of a mobile station 600 within a coverage area of a wireless network 602 includes a distance module 604 and an angular position module 606. The distance module 604 determines a radial distance of the mobile station 600 from a base station 608 serving the mobile station 600. The base station 608 includes multiple sector antennas (e.g., 610, 612, 614). The radial distance is based at least in part on a round trip measurement associated with elapsed time between sending an outgoing signal from the base station 608 to the mobile station 600 and receiving a corresponding acknowledgement signal from the mobile station 600 at the base station 608. The angular position module 606 is in operative communication with the distance module 604 and calculates a current angular position of the mobile station 600 in relation to the radial distance from the serving base station 608. The current angular position is based at least in part on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station 608. The first and second signal strength measurements representative of power characteristics of respective RF signals received by the mobile station 600 from corresponding first and second sector antennas 610, 612 of the serving base station 608. The current angular position may also be based on additional signal strength measurements from other sector antennas 614 (e.g., sector antenna N).

In this embodiment, the apparatus may also include a location module 616 in operative communication with the distance module 604 and angular position module 606 for identifying a current geographic location of the mobile station 600 in a coverage area of the wireless network 602 in a geographic notation based at least in part on combining the radial distance and current angular position of the mobile station 600 relative to the serving base station 608. In one embodiment, the radial distance and current angular position reflect a polar coordinate-type of geographic notation in reference to the serving base station. In other embodiments, the radial distance and current angular position can be converted into various types of geographic notation, such as a latitude/longitude notation, an address notation, or a geo-bin tile grid notation associated with the coverage area for the wireless network.

In the embodiment being described, the apparatus may also include an output module 618 in operative communication with the location module 616 for sending the current geographic location of the mobile station 600 in the geographic notation to a geo-location storage node 620 associated with the wireless network 602. The geo-location storage node 620 may be internal or external to the wireless network 602. In this embodiment, the apparatus may include the serving base station 608. In this embodiment, the serving base station 608 may include the distance module 604, angular position module 606, location module 616, and output module 618.

With reference to FIG. 7, an exemplary embodiment of an apparatus for estimating a geographic location of a mobile station 700 within a coverage area of a wireless network 702 includes a distance module 704 and an angular position module 706. The distance module 704 determines a radial distance of the mobile station 700 from a base station 708 serving the mobile station 700. The radial distance is based at least in part on a round trip measurement associated with elapsed time between sending an outgoing signal from the base station 708 to the mobile station 700 and receiving a corresponding acknowledgement signal from the mobile station 700 at the base station 708. The angular position module 706 is in operative communication with the distance module 704 and calculates a current angular position of the mobile station 700 in relation to the radial distance from the serving base station 708. The current angular position is based at least in part on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station 708. The first and second signal strength measurements representative of power characteristics of respective RF signals received by the mobile station 700 from corresponding first and second sector antennas 710, 712 of the serving base station 708. The current angular position may also be based on additional signal strength measurements from other sector antennas 714 (e.g., sector antenna N).

In this embodiment, the apparatus may also include a location module 716 in operative communication with the distance module 704 and angular position module 706 for identifying a current geographic location of the mobile station 700 in a coverage area of the wireless network 702 in a geographic notation based at least in part on combining the radial distance and current angular position of the mobile station 700 relative to the serving base station 708.

In the embodiment being described, the apparatus may include a geo-location service node 722 associated with the wireless network 702 and in operative communication with the serving base station 708. In this embodiment, the geo-location service node 722 may include the distance module 704, angular position module 706, and location module 716.

The geo-location service node 722 may also include an input module 724 and an output module 718. The input module 724 in operative communication with the distance module 704 and angular position module 706 for receiving the round trip measurement, first signal strength measurement, and second signal strength measurement from the serving base station 708 via the wireless network 702. The output module 718 in operative communication with the location module 716 for sending the current geographic location of the mobile station 700 in the geographic notation to a geo-location storage device 726 associated with the geo-location service node 722. The geo-location storage device 726 may be internal or external to the geo-location service node 722. If the geo-location storage device 726 is external to the geo-location service node 722, the geo-location storage device 726 may be internal or external to the wireless network 702.

With reference to FIG. 8, an exemplary embodiment of an apparatus for estimating a geographic location of a mobile station 800 within a coverage area of a wireless network 802 includes a distance module 804 and an angular position module 806. The distance module 804 determines a radial distance of the mobile station 800 from a base station 808 serving the mobile station 800. The radial distance is based at least in part on a round trip measurement associated with elapsed time between sending an outgoing signal from the base station 808 to the mobile station 800 and receiving a corresponding acknowledgement signal from the mobile station 800 at the base station 808. The angular position module 806 is in operative communication with the distance module 804 and calculates a current angular position of the mobile station 800 in relation to the radial distance from the serving base station 808. The current angular position is based at least in part on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station 808. The first and second signal strength measurements representative of power characteristics of respective RF signals received by the mobile station 800 from corresponding first and second sector antennas 810, 812 of the serving base station 808. The current angular position may also be based on additional signal strength measurements from other sector antennas 814 (e.g., sector antenna N).

In this embodiment, the apparatus may also include a location module 816 in operative communication with the distance module 804 and angular position module 806 for identifying a current geographic location of the mobile station 800 in a coverage area of the wireless network 802 in a geographic notation based at least in part on combining the radial distance and current angular position of the mobile station 800 relative to the serving base station 808.

In the embodiment being described, the apparatus may include a network management node 828 associated with the wireless network 802 and in operative communication with the serving base station 808. In this embodiment, the network management node 828 may include the distance module 804, angular position module 806, and location module 816.

The network management node 828 may also include an input module 824, a measurements storage device 830, and an output module 818. The input module 824 for receiving the round trip measurement, first signal strength measurement, and second signal strength measurement from the serving base station 808 via the wireless network 802. The measurements storage device 830 in operative communication with the input module 824, distance module 804, and angular position module 806 for storing the round trip measurement, first signal strength measurement, and second signal strength measurement. In this embodiment, the distance module 804 retrieves the round trip measurement from the measurements storage device 830 in conjunction with determining the radial distance. Similarly, the angular position module 806 retrieves the first and second signal strength measurements from the measurements storage device 830 in conjunction with calculating the current angular position. The output module 818 in operative communication with the location module 816 for sending the current geographic location of the mobile station 800 in the geographic notation to the geo-location storage device 826. The geo-location storage device 826 may be internal or external to the network management node 828. If the geo-location storage device 826 is external to the network management node 828, the geo-location storage device 826 may be internal or external to the wireless network 802.

With reference to FIG. 9, an exemplary embodiment of an angular position module 906 associated with the apparatus of FIGS. 6-8 may include a source data communication sub-module 932 and a first angular component sub-module 938. The source data communication sub-module 932 for retrieving first and second transmit parameter values from a storage device 936 associated with the wireless network. The first and second transmit parameter values representative of power characteristics of respective communication signals to be transmitted by the corresponding first and second sector antennas (e.g., 610, 612). In this embodiment, the first angular component sub-module 938 is in operative communication with the source data communication module 932 for determining a difference between the first and second transmit parameter values to obtain a first angular position component.

In a further embodiment of the angular position module 906, the source data communication module may retrieve the first and second signal strength measurements from the storage device 936. In this embodiment, the angular position module 906 may also include a second angular component module 940 in operative communication with the source data communication module 932 for determining a difference between the first and second signal strength measurements to obtain a second angular position component.

In a yet further embodiment of the angular position module 906, the source data communication sub-module 932 may also retrieve a first antenna elevation gain parameter value, a first antenna maximum gain parameter value, and a first antenna azimuth gain parameter characteristic from the storage device 936. The first antenna azimuth gain parameter characteristic relating first antenna azimuth gain parameter values to variable azimuth positions with respect to the angular position reference. The variable azimuth positions representative of prospective azimuth positions of the mobile station 900 in relation to the angular position reference. The first antenna azimuth gain parameter characteristic based at least in part on a first antenna position value representative of a first azimuth position at which the first sector antenna 910 is oriented in relation to the angular position reference.

In this embodiment, the source data communication sub-module 932 may also retrieve a second antenna elevation gain parameter value, a second antenna maximum gain parameter value, and a second antenna azimuth gain parameter characteristic from the storage device 936. The second antenna azimuth gain parameter characteristic relating second antenna azimuth gain parameter values to the variable azimuth positions. The second antenna azimuth gain parameter characteristic based at least in part on a second antenna position value representative of a second azimuth position at which the second sector antenna 912 is oriented in relation to the angular position reference.

In the embodiment being described, the angular position module 906 may also include a third angular component sub-module 934 in operative communication with the source data communication sub-module 932. The third angular component sub-module 934 for selecting an angular value (e.g., not exceeding 360) for the variable azimuth position. The third angular component sub-module 934 using the first and second antenna azimuth gain parameter characteristics to identify the corresponding first and second antenna azimuth gain parameter values for the variable azimuth position associated with the selected angular value.

In this embodiment, the third angular component sub-module 934 may also determine a difference between first and second transmit antenna gains for the selected angular value. The difference may be determined by adding the first antenna azimuth gain parameter value for the selected angular value to the first antenna elevation gain parameter value and subtracting the first antenna maximum gain parameter value to obtain the first transmit antenna gain, adding the second antenna azimuth gain parameter value for the selected angular value to the second antenna elevation gain parameter value and subtracting the second antenna maximum gain parameter value to obtain the second transmit antenna gain, and subtracting the second transmit antenna gain from the first transmit antenna gain to obtain a third angular position component.

The angular value selected for the initial variable azimuth position can be based at least in part on knowledge of which sector antenna is serving the mobile station and the orientation and azimuth position of the serving sector antenna. Subsequent values selected for the variable azimuth position can be based on whether the subsequent result is approaching or receding from the desired result. Various techniques can also be used to select subsequent values for the variable azimuth position based on the magnitude of the difference between the subsequent result and the desired result as well as the change in the difference between consecutive subsequent results and the desired result.

For example, in a further embodiment of the angular position module 906, the angular value initially selected for the variable azimuth position by the third angular component sub-module 934 may be between the first and second antenna position values. In this embodiment, the initial angular value may be representative of a mid-point between the first and second antenna position values. In other words, if the first antenna is oriented to 120 degrees in relation to the angular reference position, a second antenna may be oriented to 240 degrees, and 180 may be selected as the initial angular value for the variable azimuth position because it is at a midpoint between the first and second sector antennas. The selection of other angular values for the variable azimuth position can take into account whether the results are getting better or worse to select angular values to obtain better results. The iterative selection of angular values can be incremental or based on a factor of the difference between the obtained result and the desired result.

In a yet further embodiment, the angular position module 906 may include an arithmetic sub-module 942 and a control sub-module 944. In this embodiment, the arithmetic sub-module 942 is in operative communication with the first, second, and third angular component modules 938, 940, 934 for adding the first and third angular position components and subtracting the second angular position component to form an arithmetic result. In the embodiment being described, the arithmetic sub-module 942 converts the arithmetic result to an absolute value. The control sub-module 944 is in operative communication with the arithmetic sub-module 942 and the third angular component sub-module 934 for identifying the angular value substituted for the variable azimuth position as the current angular position for the mobile station 900 if the arithmetic result is within a predetermined threshold of a desired value (e.g., zero). Otherwise, the control sub-module 944 may causes the third angular component module 934 to repeat the selecting with a different angular value and the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, causes the arithmetic sub-module 942 to repeat the adding and subtracting to form the arithmetic result and the determining of the absolute value, and causes the repeating to continue until the arithmetic result is within the predetermined threshold of the desired value.

In an alternate further embodiment, the arithmetic sub-module 942 may be in operative communication with the first, second, and third angular component modules 938, 940, 934 for adding the first and third angular position components and subtracting the second angular position component to form an arithmetic result. In the embodiment being described, the arithmetic sub-module 942 converts the arithmetic result to an absolute value. In this embodiment, the control sub-module 944 may be in operative communication with the arithmetic sub-module 942 and the third angular component module 934 for causing the third angular component sub-module 934 to repeat the selecting with a different angular value and the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, causing the arithmetic sub-module 942 to repeat the adding and subtracting to form the arithmetic result and the determining of the absolute value, and causing the repeating to continue until the absolute value is minimized. In the embodiment being described, the control sub-module 944 identifies the corresponding angular value substituted for the variable azimuth position for which the absolute value is minimized as the current angular position for the mobile station 900.

In another alternate further embodiment, the arithmetic sub-module 942 may be in operative communication with the first, second, and third angular component modules 938, 940, 934 for summing the first and third angular position components to form an arithmetic result. In the embodiment being described, the arithmetic sub-module 942 compares the arithmetic result to the second angular position component 940. In this embodiment, the control sub-module 944 may be in operative communication with the arithmetic sub-module 942 and the third angular component sub-module 934 for identifying the angular value substituted for the variable azimuth position as the current angular position for the mobile station if the arithmetic result is within a predetermined range of the second angular position component. Otherwise, the control sub-module 944 causes the third angular component module 934 to repeat the selecting with a different angular value and the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, causes the arithmetic sub-module 942 to repeat the summing of the first and third angular position components to form the arithmetic result and the comparing of the arithmetic result to the second angular position component, and cause the repeating to continue until the arithmetic result is within the predetermined range of the second angular position component.

With reference to FIG. 10, an exemplary embodiment of a non-transitory computer-readable medium storing program instructions that, when executed by a computer, cause a corresponding computer-controlled device to perform a process 1000 for estimating a geographic location of a mobile station within a coverage area of a wireless network. In one embodiment, the process 1000 begins at 1002 where a radial distance of a mobile station from a base station serving the mobile station is determined. The base station including multiple sector antennas. The radial distance is based at least in part on a round trip measurement associated with elapsed time between sending an outgoing signal from the base station to the mobile station and receiving a corresponding acknowledgement signal from the mobile station at the base station. At 1004, a current angular position of the mobile station in relation to the radial distance from the serving base station is calculated. The current angular position is based at least in part on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station, the first and second signal strength measurements representative of power characteristics of respective RF signals received by the mobile station from corresponding first and second sector antennas of the serving base station. Next, a current geographic location of the mobile station in a coverage area of the wireless network may be identified in a geographic notation (1006).

In various embodiments, the program instructions stored in the non-transitory computer-readable memory, when executed by the computer, may cause the computer-controlled device to perform various combinations of functions associated with the various embodiments of the processes 400, 500 for estimating a geographic location of a mobile station described above with reference to FIGS. 4 and 5. In other words, the various embodiments of the processes 400, 500 described above may also be implemented by corresponding embodiments of the process 1000 associated with the program instructions stored in the non-transitory computer-readable memory.

Likewise, in various embodiments, the program instructions stored in the non-transitory computer-readable memory, when executed by the computer, may cause the computer-controlled device to perform various combinations of functions associated with the various embodiments of the apparatus for estimating a geographic location of a mobile station described above with reference to FIGS. 6-8 and the angular position module 906 described above with reference to FIG. 9.

For example, the computer-controlled device may include a base station (see FIG. 6, 608), a geo-location service node (see FIG. 7, 722), a network management node (see FIG. 8, 828), or any suitable communication node associated with the wireless network. Any suitable module or sub-module described above with reference to FIGS. 6-9 may include the computer and non-transitory computer-readable memory associated with the program instructions. Alternatively, the computer and non-transitory computer-readable memory associated with the program instructions may be individual or combined components that are in operative communication with any suitable combination of the modules and sub-modules described above with reference to FIGS. 6-9

The above description merely provides a disclosure of particular embodiments of the invention and is not intended for the purposes of limiting the same thereto. As such, the invention is not limited to only the above-described embodiments. Rather, it is recognized that one skilled in the art could conceive alternative embodiments that fall within the scope of the invention. 

1. A method for estimating a geographic location of a mobile station within a coverage area of a wireless network, comprising: determining a radial distance of a mobile station from a base station serving the mobile station, the base station including multiple sector antennas, the radial distance based at least in part on a round trip measurement associated with elapsed time between sending an outgoing signal from the base station to the mobile station and receiving a corresponding acknowledgement signal from the mobile station at the base station; and calculating a current angular position of the mobile station in relation to the radial distance from the serving base station based at least in part on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station, the first and second signal strength measurements representative of power characteristics of respective radio frequency (RF) signals received by the mobile station from corresponding first and second sector antennas of the serving base station; wherein the calculating of the current angular position of the mobile station is also based at least in part on first and second transmit parameter values representative of power characteristics of respective communication signals to be transmitted by the corresponding first and second sector antennas.
 2. The method of claim 1, further comprising: identifying a current geographic location of the mobile station in a coverage area of the wireless network in a geographic notation based at least in part on combining the radial distance and current angular position of the mobile station relative to the serving base station.
 3. The method of claim 2, further comprising: sending the current geographic location of the mobile station in the geographic notation to a geo-location storage node associated with the wireless network.
 4. The method of claim 2, further comprising: receiving the round trip measurement, first signal strength measurement, and second signal strength measurement from the serving base station via the wireless network at a geo-location service node associated with the wireless network; and sending the current geographic location of the mobile station in the geographic notation to a geo-location storage device associated with the geo-location service node; wherein the receiving, determining, calculating, identifying, and sending are performed by the geo-location service node.
 5. The method of claim 2, further comprising: receiving the round trip measurement, first signal strength measurement, and second signal strength measurement from the serving base station via the wireless network at a network management node associated with the wireless network; storing the round trip measurement, first signal strength measurement, and second signal strength measurement at a measurements storage device associated with the network management node; retrieving the round trip measurement, first signal strength measurement, and second signal strength measurement from the measurements storage device in conjunction with the determining and calculating; and sending the current geographic location of the mobile station in the geographic notation to a geo-location storage device associated with the network management node; wherein the receiving, storing, retrieving, determining, calculating, identifying, and sending are performed by the network management node.
 6. The method of claim 1, the further comprising: retrieving the first and second transmit parameter values from a storage device associated with the wireless network; and determining a difference between the first and second transmit parameter values to obtain a first angular position component of the current angular position of the mobile station.
 7. The method of claim 6, further comprising: determining a difference between the first and second signal strength measurements to obtain a second angular position component of the current angular position of the mobile station.
 8. The method of claim 7, further comprising: retrieving a first antenna elevation gain parameter value, a first antenna maximum gain parameter value, and a first antenna azimuth gain parameter characteristic from the storage device, the first antenna azimuth gain parameter characteristic relating first antenna azimuth gain parameter values to variable azimuth positions with respect to the angular position reference, the variable azimuth positions representative of prospective azimuth positions of the mobile station in relation to the angular position reference, the first antenna azimuth gain parameter characteristic based at least in part on a first antenna position value representative of a first azimuth position at which the first sector antenna is oriented in relation to the angular position reference; retrieving a second antenna elevation gain parameter value, a second antenna maximum gain parameter value, and a second antenna azimuth gain parameter characteristic from the storage device, the second antenna azimuth gain parameter characteristic relating second antenna azimuth gain parameter values to the variable azimuth positions, the second antenna azimuth gain parameter characteristic based at least in part on a second antenna position value representative of a second azimuth position at which the second sector antenna is oriented in relation to the angular position reference; selecting an angular value not exceeding 360 for the variable azimuth position and using the first and second antenna azimuth gain parameter characteristics to identify the corresponding first and second antenna azimuth gain parameter values for the variable azimuth position associated with the selected angular value; and determining a difference between first and second transmit antenna gains for the selected angular value by adding the first antenna azimuth gain parameter value for the selected angular value to the first antenna elevation gain parameter value and subtracting the first antenna maximum gain parameter value to obtain the first transmit antenna gain, adding the second antenna azimuth gain parameter value for the selected angular value to the second antenna elevation gain parameter value and subtracting the second antenna maximum gain parameter value to obtain the second transmit antenna gain, and subtracting the second transmit antenna gain from the first transmit antenna gain to obtain a third angular position component of the current angular position of the mobile station.
 9. The method of claim 8, the calculating further comprising: adding the first and third angular position components and subtracting the second angular position component to form an arithmetic result for which an absolute value is determined; and if the absolute value is within a predetermined threshold of a desired value, identifying the angular value substituted for the variable azimuth position as the current angular position for the mobile station, otherwise, repeating the selecting with a different angular value, repeating the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, repeating the adding and subtracting to form the arithmetic result and the determining of the absolute value, and continuing the repeating until the absolute value is within the predetermined threshold of the desired value.
 10. The method of claim 8, further comprising: adding the first and third angular position components and subtracting the second angular position component to form an arithmetic result for which an absolute value is determined; repeating the selecting with a different angular value, repeating the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, repeating the adding and subtracting to form the arithmetic result and the determining of the absolute value, and continuing the repeating until the absolute value is minimized; and identifying the corresponding angular value substituted for the variable azimuth position for which the absolute value is minimized as the current angular position for the mobile station.
 11. The method of claim 8, further comprising: summing the first and third angular position components to form an arithmetic result and comparing the arithmetic result to the second angular position component; and if the arithmetic result is within a predetermined range of the second angular position component, identifying the angular value substituted for the variable azimuth position as the current angular position for the mobile station, otherwise, repeating the selecting with a different angular value, repeating the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, repeating the summing of the first and third angular position components to form the arithmetic result and the comparing of the arithmetic result to the second angular position component, and continuing the repeating until the arithmetic result is within the predetermined range of the second angular position component.
 12. An apparatus for estimating a geographic location of a mobile station within a coverage area of a wireless network, comprising: a distance module for determining a radial distance of a mobile station from a base station serving the mobile station, the base station including multiple sector antennas, the radial distance based at least in part on a round trip measurement associated with elapsed time between sending an outgoing signal from the base station to the mobile station and receiving a corresponding acknowledgement signal from the mobile station at the base station; and an angular position module in operative communication with the distance module for calculating a current angular position of the mobile station in relation to the radial distance from the serving base station based at least in part on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station, the first and second signal strength measurements representative of power characteristics of respective radio frequency (RF) signals received by the mobile station from corresponding first and second sector antennas of the serving base station; wherein the calculating of the current angular position of the mobile station is also based at least in part on first and second transmit parameter values representative of power characteristics of respective communication signals to be transmitted by the corresponding first and second sector antennas.
 13. The apparatus of claim 12, further comprising: a location module in operative communication with the distance module and angular position module for identifying a current geographic location of the mobile station in a coverage area of the wireless network in a geographic notation based at least in part on combining the radial distance and current angular position of the mobile station relative to the serving base station.
 14. The apparatus of claim 13, further comprising: an output module in operative communication with the location module for sending the current geographic location of the mobile station in the geographic notation to a geo-location storage node associated with the wireless network.
 15. The apparatus of claim 14, the apparatus comprising: the serving base station, the serving base station including the distance module, angular position module, location module, and output module.
 16. The apparatus of claim 13, the apparatus comprising: a geo-location service node associated with the wireless network and in operative communication with the serving base station, the geo-location service node including: the distance module, angular position module, and location module; an input module in operative communication with the distance module and angular position module for receiving the round trip measurement, first signal strength measurement, and second signal strength measurement from the serving base station via the wireless network; and an output module in operative communication with the location module for sending the current geographic location of the mobile station in the geographic notation to a geo-location storage device associated with the geo-location service node.
 17. The apparatus of claim 13, the apparatus comprising: a network management node associated with the wireless network and in operative communication with the serving base station, the network management node including: the distance module, angular position module, and location module; an input module for receiving the round trip measurement, first signal strength measurement, and second signal strength measurement from the serving base station via the wireless network; a measurements storage device in operative communication with the input module, distance module, and angular position module for storing the round trip measurement, first signal strength measurement, and second signal strength measurement, wherein the distance module retrieves the round trip measurement from the measurements storage device in conjunction with determining the radial distance and the angular position module retrieves the first and second signal strength measurements from the measurements storage device in conjunction with calculating the current angular position; and an output module in operative communication with the location module for sending the current geographic location of the mobile station in the geographic notation to a geo-location storage device associated with the network management node.
 18. The apparatus of claim 12, the angular position module comprising: a source data communication sub-module for retrieving the first and second transmit parameter values from a storage device associated with the wireless network; and a first angular component sub-module in operative communication with the source data communication sub-module for determining a difference between the first and second transmit parameter values to obtain a first angular position component of the current angular position of the mobile station.
 19. The apparatus of claim 18, the angular position module further comprising: a second angular component sub-module in operative communication with the source data communication sub-module for determining a difference between the first and second signal strength measurements to obtain a second angular position component of the current angular position of the mobile station.
 20. The apparatus of claim 19 wherein the source data communication sub-module is also for: retrieving a first antenna elevation gain parameter value, a first antenna maximum gain parameter value, and a first antenna azimuth gain parameter characteristic from the storage device, the first antenna azimuth gain parameter characteristic relating first antenna azimuth gain parameter values to variable azimuth positions with respect to the angular position reference, the variable azimuth positions representative of prospective azimuth positions of the mobile station in relation to the angular position reference, the first antenna azimuth gain parameter characteristic based at least in part on a first antenna position value representative of a first azimuth position at which the first sector antenna is oriented in relation to the angular position reference; and retrieving a second antenna elevation gain parameter value, a second antenna maximum gain parameter value, and a second antenna azimuth gain parameter characteristic from the storage device, the second antenna azimuth gain parameter characteristic relating second antenna azimuth gain parameter values to the variable azimuth positions, the second antenna azimuth gain parameter characteristic based at least in part on a second antenna position value representative of a second azimuth position at which the second sector antenna is oriented in relation to the angular position reference; and the angular position module further comprising: a third angular component sub-module in operative communication with the source data communication sub-module for: selecting an angular value not exceeding 360 for the variable azimuth position and using the first and second antenna azimuth gain parameter characteristics to identify the corresponding first and second antenna azimuth gain parameter values for the variable azimuth position associated with the selected angular value; and determining a difference between first and second transmit antenna gains for the selected angular value by adding the first antenna azimuth gain parameter value for the selected angular value to the first antenna elevation gain parameter value and subtracting the first antenna maximum gain parameter value to obtain the first transmit antenna gain, adding the second antenna azimuth gain parameter value for the selected angular value to the second antenna elevation gain parameter value and subtracting the second antenna maximum gain parameter value to obtain the second transmit antenna gain, and subtracting the second transmit antenna gain from the first transmit antenna gain to obtain a third angular position component of the current angular position of the mobile station.
 21. The apparatus of claim 20, the angular position module further comprising: an arithmetic sub-module in operative communication with the first, second, and third angular component sub-modules for adding the first and third angular position components and subtracting the second angular position component to form an arithmetic result for which an absolute value is determined; and a control sub-module in operative communication with the arithmetic sub-module and the third angular component sub-module for identifying the angular value substituted for the variable azimuth position as the current angular position for the mobile station if the absolute value is within a predetermined threshold of a desired value, otherwise, the control sub-module causes the third angular component sub-module to repeat the selecting with a different angular value and the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, causes the arithmetic sub-module to repeat the adding and subtracting to form the arithmetic result and the determining of the absolute value, and causes the repeating to continue until the absolute value is within the predetermined threshold of the desired value.
 22. The apparatus of claim 20, the angular position module further comprising: an arithmetic sub-module in operative communication with the first, second, and third angular component sub-modules for adding the first and third angular position components and subtracting the second angular position component to form an arithmetic result for which an absolute value is determined; a control sub-module in operative communication with the arithmetic sub-module and the third angular component sub-module for causing the third angular component sub-module to repeat the selecting with a different angular value and the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, for causing the arithmetic sub-module to repeat the adding and subtracting to form the arithmetic result and the determining of the absolute value, and for causing the repeating to continue until the absolute value is minimized, wherein the control sub-module identifies the corresponding angular value substituted for the variable azimuth position for which the absolute value is minimized as the current angular position for the mobile station.
 23. The apparatus of claim 20, the angular position module further comprising: an arithmetic sub-module in operative communication with the first and third angular component modules for summing the first and third angular position components to form an arithmetic result and for comparing the arithmetic result to the second angular position component; and a control sub-module in operative communication with the arithmetic sub-module and the second and third angular component sub-modules for identifying the angular value substituted for the variable azimuth position as the current angular position for the mobile station if the arithmetic result is within a predetermined range of the second angular position component, otherwise, the control sub-module causes the third angular component sub-module to repeat the selecting with a different angular value and the determining of the difference between the first and second transmit gains to obtain a new value for the third angular position component, causes the arithmetic sub-module to repeat the summing of the first and third angular position components to form the arithmetic result and the comparing of the arithmetic result to the second angular position component, and causes the repeating to continue until the arithmetic result is within the predetermined range of the second angular position component.
 24. A non-transitory computer-readable medium storing program instructions that, when executed by a computer, cause a corresponding computer-controlled device to perform a method for estimating a geographic location of a mobile station within a coverage area of a wireless network, the method comprising: determining a radial distance of a mobile station from a base station serving the mobile station, the base station including multiple sector antennas, the radial distance based at least in part on a round trip measurement associated with elapsed time between sending an outgoing signal from the base station to the mobile station and receiving a corresponding acknowledgement signal from the mobile station at the base station; calculating a current angular position of the mobile station in relation to the radial distance from the serving base station based at least in part on a first signal strength measurement, a second signal strength measurement, and an angular position reference that extends outward from the serving base station, the first and second signal strength measurements representative of power characteristics of respective radio frequency (RF) signals received by the mobile station from corresponding first and second sector antennas of the serving base station, wherein the calculating of the current angular position of the mobile station is also based at least in part on first and second transmit parameter values representative of power characteristics of respective communication signals to be transmitted by the corresponding first and second sector antennas; and identifying a current geographic location of the mobile station in a coverage area of the wireless network in a geographic notation based at least in part on combining the radial distance and current angular position of the mobile station relative to the serving base station.
 25. The non-transitory computer-readable medium of claim 24, the method further comprising: retrieving the first and second transmit parameter values from a storage device associated with the wireless network; and determining a difference between the first and second transmit parameter values to obtain a first angular position component of the current angular position of the mobile station. 